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Finding the Fourth Proportional to 520.99, 780.87 and 212.49

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Solution

The fourth proportional to 520.99, 780.87 and 212.49 is: 318.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.99 : 780.87 = 212.49 : x
  2. Step 2: Convert to fraction form
    520.99/780.87 = 212.49/x
  3. Step 3: Cross multiply
    520.99x = 780.87 × 212.49
  4. Step 4: Simplify right side
    520.99x = 165,924.05
  5. Step 5: Solve for x
    x = 165,924.05/520.99
  6. Step 6: Final answer
    x = 318.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.